105006420003210 has 64 divisors (see below), whose sum is σ = 275110787211264. Its totient is φ = 25438982600000.

The previous prime is 105006420003193. The next prime is 105006420003227. The reversal of 105006420003210 is 12300024600501.

It is an interprime number because it is at equal distance from previous prime (105006420003193) and next prime (105006420003227).

It is a super-5 number, since 5×105006420003210⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106503666 + ... + 107485085.

It is an arithmetic number, because the mean of its divisors is an integer number (4298606050176).

Almost surely, 2^{105006420003210} is an apocalyptic number.

105006420003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006420003210 is an abundant number, since it is smaller than the sum of its proper divisors (170104367208054).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105006420003210 is a wasteful number, since it uses less digits than its factorization.

105006420003210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213990259.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105006420003210 its reverse (12300024600501), we get a palindrome (117306444603711).

The spelling of 105006420003210 in words is "one hundred five trillion, six billion, four hundred twenty million, three thousand, two hundred ten".